Science and Mathematics Education Commons^™

A Novel Method For Solving Nonlinear Equations, Mohsen Mahmood Doroodchi, Habibolla Latifizadeh

H. L. Zadeh

The confluence of modern mathematics and symbolic computation has posed a challenge to develop methodologies capable of handling strongly nonlinear equations which cannot be successfully dealt with by classical methods. The current proposed method is uniquely quali#12;ed to address this challenge. The idea of Variational Iteration Method (VIM) is to construct a correction functional by a general Lagrange multiplier which can be identi#12;ed optimally via the variational theory. The novel technique proposed in this paper provides a sequence of functions which converges to the exact solution of the nonlinear problem without requiring small parameters as the perturbation techniques and the …